The most obvious off-the-top-of-my-head reply would be Little Three Happiness in Chinatown, and at first when I read the subject-it seemed to me that you were seeking Italian in Chinatown-which would be Bertucci's at 300 W. 24th St. At any rate it fits your needs.
Other places in Chinatown might be Lao Szech Chuan, Spring World, Ken Kee, Phoenix(for dim sum), K's Seafood(lots of non-seafood items).
Just search "Chinatown".
I love animals...they're delicious!